Prime p₀= 2858372068277573381 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 28 2 118 2 10 2 4 2 (?)
a_n: 0 2 30 32 48 50 78 80 198 200 210 212 216 218
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 218
Found by: [SG-FC] hl
db: batch=82, k=14, 28 16 28 118 10 4

SPT(16)	2858370866890300217	0 26 44 60 66 74 84 92 144 152 162 170 176 192 210 236	-1201387273164
SPT(16)	2858370975294851167	0 46 54 82 90 114 126 142 144 160 172 196 204 232 240 286	-1092982722214
SPT(16)	2858371500864505733	0 18 20 50 66 74 90 104 120 134 150 158 174 204 206 224	-567413067648
SPT(16)	2858371517477841649	0 18 30 78 88 180 190 198 364 372 382 474 484 532 544 562	-550799731732
STPT(10)	2858371624723654181	0 2 6 8 18 20 30 32 36 38	-443553919200
SPT(16)	2858371950820023019	0 22 30 54 82 114 228 282 340 394 508 540 568 592 600 622	-117457550362
STPT(10)	2858372168662162961	0 2 186 188 198 200 210 212 396 398	100384589580
STPT(10)	2858372199018707807	0 2 42 44 72 74 102 104 144 146	130741134426
STPT(10)	2858372893136746757	0 2 30 32 72 74 114 116 144 146	824859173376
STPT(10)	2858373117751822199	0 2 42 44 90 92 138 140 180 182	1049474248818
SPT(16)	2858373363821612639	0 18 38 84 90 98 104 158 234 288 294 302 308 354 374 392	1295544039258